Gate/door in hall

We have 2 smaller dogs, We keep them out of the bedroom area. Right now we use a simple piece of shelving wedged against a door and blocked on the other side to keep it in place.
It is about 14" high and I have no trouble steeping over it, my wife is shorter and says she would like some sort of gate. Al;so MIL is really short and older and had trouble.

Thought of baby gate but then we would have to open it all the time.
Thinking a 14" high board hinged on one side and a 'stick' coming up say 32" on the other with some sort of latch.

Wondering about using a spring loaded hinge that would cause the door to auto shut. then would not need a latch.

Gate/door in hall

the 14" board keeps them out and I and my 2 daughters can step over it, my wife would prefer the Gate. So a 14" gate with a 'stick' coming up to hip high on one side would be ok, we could step over it and she could open it.

Gate/door in hall

Baby gate - would rather have option of stepping over for my 2 daughters and I, So do not have to open all the time.

Doors are cut above the floor about 3/4" gap, but with no cold air returns in bedrooms it works better to leave doors open.

For the doors there are two options you can do is either increase the gap to 1.5 inches or use the wall register and bore out the door and install the wall regestier. there are few differnt size you can get and choose from but becarefull when you cut out the opening on the door make sure you don't hit the edge part which it will useally have soild wood to support the door.

Typically 8X16 useally do the trick ( cut the hole like 6X14 or about that size )